32786892480 has 224 divisors, whose sum is σ = 109742630400. Its totient is φ = 8270512128.

The previous prime is 32786892409. The next prime is 32786892491. The reversal of 32786892480 is 8429868723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 32786892480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21029941 + ... + 21031499.

Almost surely, 2^32786892480 is an apocalyptic number.

32786892480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32786892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54871315200).

32786892480 is an abundant number, since it is smaller than the sum of its proper divisors (76955737920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32786892480 is a wasteful number, since it uses less digits than its factorization.

32786892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 32786892480 in words is "thirty-two billion, seven hundred eighty-six million, eight hundred ninety-two thousand, four hundred eighty".